On Schur classes for modules over group rings. (Russian, English) Zbl 1150.20303
Ukr. Mat. Zh. 59, No. 9, 1261-1268 (2007); translation in Ukr. Math. J. 59, No. 9, 1408-1416 (2007).
Summary: We consider the problem of coupling between a quotient module \(A/C_A(G)\) and a submodule \(A(\omega RG)\), where \(G\) is a group, \(R\) is a ring, and \(A\) is an \(RG\)-module; \(C_A(G)\) can be considered as an analogue of the centre of the group, and the submodule \(A(\omega RG)\) can be considered as an analogue of the derived subgroup of the group.
MSC:
| 20C07 | Group rings of infinite groups and their modules (group-theoretic aspects) |
| 16S34 | Group rings |
